Compound of three squares

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Compound of three squares
Rank2
TypeRegular
Notation
Bowers style acronymTrisquare
Schläfli symbol{12/3}
Elements
Components3 squares
Edges12
Vertices12
Vertex figureDyad, length 2
Measures (edge length 1)
Circumradius
Inradius
Area3
Angle90°
Central density3
Number of external pieces24
Level of complexity2
Related polytopes
ArmyDog, edge length
DualCompound of three squares
ConjugateCompound of three squares
Convex coreDodecagon
Abstract & topological properties
Flag count24
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12), order 24
ConvexNo
NatureTame

The trisquare is a polygon compound composed of 3 squares. As such it has 12 edges and 12 vertices.

It is the second stellation of the dodecagon.

Its quotient prismatic equivalent is the 12-4 step prism, which is four-dimensional.

Vertex coordinates[edit | edit source]

Coordinates for the vertices of a trisquare of edge length 1 centered at the origin are given by:

External links[edit | edit source]